Step-by-step explanation:
If x = the amount of 12% and y = the amount of 20%, then x + y = 80
Since we need 80 grams of 15%, 80(.15) = 12.
We are given that .12x + .20y = 12.
We can solve the first equation for x or y. Let's do x.
x = 80 - y
.12(80 - y) + .20y = 12
9.6 - .12y + .20y = 12
.08y = 2.4
y = 30
x = 80 - 30 = 50
Answer:
Based on the model, the length of the wall is 
ft, the width of the wall is 
ft, and the height of the wall is 
ft. The volume of the portion of security wall that Tim has constructed so far is 
cu ft.
Step-by-step explanation:
Given:
The figure constructed shows a rectangular prism made up of small wooden cubes of length 
.
Width of the prism = 
.
To find length , height and volume of the figure.
Solution:
From the figure we can conclude that :
Length side of the prism counts 9 cubes.
Thus, length of the prism will be given as :
⇒ 
⇒ 
⇒ 
(Answer)
Height side of the prism counts 11 cubes.
Thus, height of the prism will be given as :
⇒
⇒ 
⇒ 
(Answer)
Volume of the prism can be given as :
⇒ 
⇒ 
⇒ 
(Answer)
Answer:
4 plants
Step-by-step explanation:
If betty has $33 dollars and each plant is $8, than 33/8 ≈ 4
(8 * 4 is 32)
She will have one dollar left but she can't buy another plant since that's not enough.
The answer is 4 as 4x4 is 16 (squared means the number multiplied by itself) and
<em>16+16+9=41</em>
Therefore the answer is x=4
First, multiply the brackets out:
(8x^4 - x + 1)(-x^5 + 5)
= -8x^9 + x^6 - x^5 + 40x^4 - 5x + 5
Then, find f'(x) by multiplying each term by the power, then reducing the power by one:
f'(x) = -72x^8 + 6x^5 - 5x^4 + 160x^3 - 5
